take any 11 integers. prove that there must be at least two of them that differ by an integer multiple of 10.

Q: 4. Getting a red card 5. The card is a face card. 6. Drawing a numbered card. 7. The card shows a…

A: Given  Total number is cards in a deck = 52. Total number of face card =12 Total number of red face…

Q: Factor the following using DIFFERENCE OF SQUARES (and 1 will require GCF as well!) 1. 36x2 - 25 2.…

A: Factor the following by difference of square

Q: _4. In triangle PQR, what is the length of adjacent side of angle R? А. 3 В. 4 С. 5 3 5 D. Cannot be…

A: In triangle PQR,PQ=3, QR=4, PR=5

Q: 2. Find the domain and range for each of the following functions. Functions Domain Range a) f(x) =…

A:

Q: Write

A: We will solve the piece wise function.

Q: 'hich of the following functions have a range of all Real numbers? Quadratic Functions Square Root…

A: Given query is to find which function has range of all real numbers.

Q: Consider the graph of the function s(x) = x² + 6x + 9. Part B: The graph of s(x) is translated to…

A: Solve the following

Q: Verify that 2, is an eigenvalue of A and that x, is a corresponding eigenvector. 11 = 6, x1 = (1, o,…

A: Thr solution is given in the next step.

Q: 13

A: Given query is to find basic function and then transformed function.

Q: 9. Transitive Property of Inequality 9. If -8 >- 15, and - 15 > - 20, then 10. Multiplication…

A:

Q: . O 17. Find the values of a, b,and cfor y = 4x2 – 8x – 12. a=

A: Explanation of the answer is as follows

Q: 20. Is the function f (x) = 2x3 - 4x even, odd or neither?,

A:

Q: solve 2ln ( 3x + 1) = 0

A: Given:  2ln ( 3x + 1) = 0

Q: If a quadratic function has a dilation rule in the formf'(x) = af (÷x)“, what will cause a vertical…

A: Explained below

Q: Based on the given sequence, determine if the statement below is true or false. Explain your…

A:

Q: A parabola can be drawn given a focus of (5,-10) and a directrix of y = 6. What can be said about…

A: Follow the procedure given below.

Q: Fill in the blanks in the following truth table. Pa p - T T ? v T F ? ? v FT ? v FF ? ? v > Next…

A:

Q: 9. Solve. Write answers as an imaginary number. 7 + 11 = 2 Oy- tiviī Ov- 131 Oy- tivī3 Oy = +9i Ov-…

A:

Q: Find the maximum value of f(x) = -3x² + 6x - 5 without a calculator. Hint: Use the vertex formula!

A:

Q: 2. x2 + 12x + 20

A:

Q: 8) (a) Determine if the point is in the region described by the inequality. (i) (4,2) and y x – 6…

A:

Q: 9. NED Consider the functions: 1 f(x) = & g(x) = x +3 %3D a. Find (f ° g)(x). b. Find the domain of…

A:

Q: Find the length of the latus rectum of the parabola with equation x² – 4x – 16y +116 = 0. latus…

A:

Q: expression

A: We will find the expression.

Q: The number of bacteria in a refrigerated food product is given by N(T) = 27T² – 64T + 20, 3 < T < 33…

A:

Q: Question 12 32K

A:

Q: College freshmen took a psychology exam. If the mean is 80, the standard deviation is 10, and the…

A: Given mean = 80  And , Standard Deviation = 10

Q: 5. One pipe can fill a tank in two hours, and another pipe can fill it in 3 hours. How of the tank…

A: We are authorized to solve only one question please repost remaining questions Unity rule

Q: graph

A: Vertical asymptote of tan(x) is at -π/2 and π/2.

Q: W Q 1. Find the solution to the linear system using Gaussian elimination. Jæ + 2y = 5 | 2x + 3y = 6…

A: This question is related to linear equations, we will solve it using given information.

Q: Give the domain of each of the following functions in interval notation. 2 r(x) 25 – x2 8 т(«) 36 +…

A: r(x) = -2/(25 - x2) 25 - x2 = 0 x2 = 25 x = ± 5 So, Domain : (-∞,-5) U (-5,5) U (5,∞)

Q: 21. A group of 10 women and 6 men must select a four-person committee. How many committees are…

A: Permutation and combinations

Q: V. How many different ways can the letters of each word can be arranged? ENT 10. MATHEMATICS

A: Given,  How many ways the word MATHEMATICS can be arranged.

Q: 8. In V5x 3 y z2 9. log. V xt 10. loga Va b5

A:

Q: help

A: We will find the domain.

Q: Write the equation of the trigonometric graph. try Y COS x )+ 27 2 2 2 -1 -2 -3 -4 -5

A: Here is the solution:

Q: #24 i E Check A Skills Review MATHEMATICAL CONNECTIONS Classify the quadrilateral by its most…

A:

Q: Solve the following system of equations. Give exact solutions, not decimal approximations! x2 + 2xy…

A: Equation

Q: 1. If a is a natural number and both 3|a and 2|a, then 12|a.

A: 'a' is a natural number and both 3|a and 2|a, then 12|a

Q: Substance A decomposes at a rate proportional to the amount of A present. It is found that 16 Ib of…

A:

Q: Find the coefficient of x5 y8 in (x + y)13.

A: Binomial theorem(x+y)n=∑j=0nnjxn-jyj

Q: The population P (in thousands) of Tallahassee, Florida, from 2000 through 2018 can be modeled by P…

A:

Q: The function f (x) x² – 3x – 4 is graphed on the coordinate plane. Which points will be on the graph…

A: Draw a graph

Q: In a survey, 150 shoppers were asked whether they have access to a computer at home and if they have…

A: Here we have to use the concept of percentage.

Q: Picking a blue marble three times in a row (replacing it in the bag each time) from a bag of 4…

A: Solution: Given data, Picking a blue marble three times in a row (replacing it in the bag each time)…

Q: 2 -1 Simplify: 2+1 -3v+2

A:

Q: L Simplify each of the following expression. 7. (8!7!) 5!4! 12! 3!2! 10 8. 4!3! 45! 0. 43!5!

A: Since this is a multiple subpart question, according to the Bartleby answering rule, only the first…

Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 3 in.…

A:

Q: Worksheet No. 2: Properties of Inequality Direction: State the property of inequality illustrated in…

A: Solution: 4: If we multiple or divide by a negative number the direction of inequality will be…

Q: 4. Twice the difference of thrice a number h and 11 is at least 10. 5. The number w is between 20…

A: Given query is to convert the statement into inequality.